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Finding the Fourth Proportional to 165,419.40, 248,129.10 and 102,433.80

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Solution

The fourth proportional to 165,419.40, 248,129.10 and 102,433.80 is: 153,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,419.40 : 248,129.10 = 102,433.80 : x
  2. Step 2: Convert to fraction form
    165,419.40/248,129.10 = 102,433.80/x
  3. Step 3: Cross multiply
    165,419.40x = 248,129.10 × 102,433.80
  4. Step 4: Simplify right side
    165,419.40x = 25,416,806,603.58
  5. Step 5: Solve for x
    x = 25,416,806,603.58/165,419.40
  6. Step 6: Final answer
    x = 153,650.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.